Numerical Approximation Based on the Bernouli Polynomials for Solving Volterra Integro-Differential Equations of High Order

In this article , an ap plied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of high order Volterra integro-differential equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A comparison of Bernouli matrix method solutions with the results of the other numerical methods has been carried out, which shows that the Bernouli matrix metod solutions are more accurate in comparison with the other methods.